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Beliebt Rechnen >

y^{''}+4y=0,y(0)=cos(2x)

Lösung

y^{^{''}} + 4 y = 0, y (0) = cos (2 x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Schritte zur Lösung

y^{''} (x) + 4 y = 0

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Graph

Beliebte Beispiele

y^{''}-9y^'-3y=0

y^{^{''}} - 9 y^{^{'}} - 3 y = 0

(y^{''})/8+5y^'+4y=0,y(0)=0,y^'(0)=-5

\frac{y ^{^{''}}}{8} + 5 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

-1y^{''}+10y=0,y(0)=1,y(1)=0

- 1 y^{^{''}} + 10 y = 0, y (0) = 1, y (1) = 0

25x^{''}+90x^'+81x=0

25 x^{^{''}} + 90 x^{^{'}} + 81 x = 0

(D^{2} + 4 D + 3) y = 0